1
GATE EE 2015 Set 2
+1
-0.3
The Laplace transform of $$f\left( t \right) = 2\sqrt {t/\pi }$$$$\,\,\,\,\,$$ is$$\,\,\,\,\,$$ $${s^{ - 3/2}}.$$ The Laplace transform of $$g\left( t \right) = \sqrt {1/\pi t}$$ is
A
$$3{s^{ - 5/2}}/2$$
B
$${s^{ - 1/2}}$$
C
$${s^{1/2}}$$
D
$${s^{3/2}}$$
2
GATE EE 2015 Set 2
Numerical
+2
-0
In the given rectifier, the delay angle of the thyristor $${T_1}$$ measured from the positive going zero crossing of $${V_s}$$ is $${30^ \circ }$$. If the input voltage $${V_s}$$ is $$100$$ $$sin$$ $$\left( {100\,\pi t} \right)$$ $$V,$$ the average voltage across $$R$$ (in Volt) under steady-state is ________.
3
GATE EE 2015 Set 2
Numerical
+2
-0
For the switching converter shown in the following figure, assume steady-state operation. Also assume that the components are ideal, the inductor current is always positive and continuous and switching period is $${T_s}.$$ If the voltage $${V_L}$$ is as shown, the duty cycle of the switch $$S$$ is __________.
4
GATE EE 2015 Set 2
Numerical
+2
-0
A composite conductor consists of three conductors of radius $$R$$ each. The conductors are arranged as shown below. The geometric mean radius (GMR) (in cm) of the composite conductor is kR. The value of k is ______.
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